One-dimensional flat bands in twisted bilayer germanium selenide

Nature Communications 11,1124, (2020)

One-dimensional flat bands in twisted bilayer germanium selenide

D. M. Kennes,L. Xian,M. Claassen, A. Rubio

Experimental advances in the fabrication and characterization of few-layer materials stacked at a relative twist of small angle have recently shown the emergence of flat energy bands. As a consequence electron interactions become relevant, providing inroads into the physics of strongly correlated two-dimensional systems. Here, we demonstrate by combining large scale ab initio simulations with numerically exact strong correlation approaches that an effective one-dimensional system emerges upon stacking two twisted sheets of GeSe, in marked contrast to all moiré systems studied so far. This not only allows to study the necessarily collective nature of excitations in one dimension, but can also serve as a promising platform to scrutinize the crossover from two to one dimension in a controlled setup by varying the twist angle, which provides an intriguing benchmark with respect to theory. We thus establish twisted bilayer GeSe as an intriguing inroad into the strongly correlated physics of lowdimensional systems.

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http://dx.doi.org/https://doi.org/10.1038/s41467-020-14947-0
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This work was supported by the European Research Council (ERC-2015-AdG694097) and Grupos Consolidados (IT578-13). The Flatiron Institute is a division of the Simons Foundation. L.X. acknowledges the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 709382 (MODHET). M.C. is supported by the Flatiron Institute, a division of the Simons Foundation. D.M.K. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy-Cluster of Excellence Matter and Light for Quantum Computing (ML4Q) EXC 2004/1-390534769. Gefördert durch die Deutsche Forschungsgemeinschaft(DFG) im Rahmen der Exzellenzstrategie des Bundes und der Länder-Exzellenzcluster Materie und Licht für Quanteninformation (ML4Q) EXC 2004/1-390534769. D.M.K. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under RTG 1995. We acknowledge support by the Max Planck Institute-New York City Center for Non-Equilibrium Quantum Phenomena. D.M.R.G. calculations were performed with computing resources granted by RWTH Aachen University under projects prep0010. We acknowledge computing resources from Columbia University’s Shared Research Computing Facility project, which is supported by NIH Research Facility Improvement Grant 1G20RR030893-01, and associated funds from the New York State Empire State Development, Division of Science Technology and Innovation (NYSTAR) Contract C090171, both awarded April 15, 2010.

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